The number 20133
20133 is a composite number with 6 divisors. Its prime factorisation is × 2237. Divisors (6): 1, 3, 9, 2237, 6711, 20133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20133: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
20133 is composite. Its prime factorisation is
- 3
The divisors add up to 29094; without 20133 itself that is 8961, so 20133 is deficient (8961 is less than 20133). Euler's totient φ(20133) = 13416 numbers up to 20133 share no factor with it.
- 4
The digits of 20133 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20133 = 3^{2} \times 2237 \]20133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 29094 |
| Euler totient φ(n) | 13416 |
| Square | 405337689 |
| Cube | 8160663692637 |
| Square root | 141.890803 (= 3√2237) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0133 × |
20133 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and thirty-three |
| Binary (base 2) | 100111010100101 |
| Octal (base 8) | 47245 |
| Hexadecimal (base 16) | 4EA5 |
| Base 3 | 1000121200 |
| As time | 20133 seconds = 5 h 35 min 33 s |
Is 20133 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20133 ÷ 3 = 6711) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20133 ÷ 9 = 2237) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20133 a prime number?
No. 20133 = × 2237, so it is divisible by 3.
What are the factors of 20133?
1, 3, 9, 2237, 6711, 20133.
What is 20133 in binary?
100111010100101 (hexadecimal 4EA5, octal 47245).
What is the square root of 20133?
About 141.8908, exactly 3√2237.
Is 20133 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20133?
20133 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.